Argues for the significance of "personal theories" in teaching. Profiles first year teaching of four teachers who had completed program of self-inquiry and reflection about their own developing conceptions of education. Describes their personal theories of teaching before employment and the nature and impact of their teaching…

Based on a two-tiered epistemological model (preliminary physical concepts and emerging mathematical concepts), studied the construction of number among 91 kindergarten students in France, Canada, and the United States. Subjects' cognitive numerical structures were surprisingly similar despite differences in language and culture. (SV)